#include "messy.h"
#include <bits/stdc++.h>
using namespace std;
string s0, s;
vector<int> ans;
void divide1( int l, int r ) {
if ( l >= r )
return;
string s1 = s0;
for ( int i = l; i <= r; i++ )
s1[i] = '1';
int mid = (l + r) / 2;
for ( int i = l; i <= mid; i++ ) {
s = s1;
s[i] = '0';
add_element( s );
}
divide1( l, mid );
divide1( mid + 1, r );
}
void divide2( int l, int r, vector<int> v ) {
if ( l > r )
return;
if ( l == r ) {
ans[l] = v[0];
return;
}
string s1 = s0;
for ( int i: v )
s1[i] = '1';
int mid = (l + r) / 2;
vector<int> leftt, rightt;
for ( int i: v ) {
s = s1;
s[i] = '0';
if ( check_element( s ) )
leftt.push_back( i );
else
rightt.push_back( i );
}
divide2( l, mid, leftt );
divide2( mid + 1, r, rightt );
}
vector<int> restore_permutation( int n, int w, int r ) {
ans.resize( n );
for ( int i = 0; i < n; i++ )
s0 += '0';
vector<int> v;
for ( int i = 0; i < n; i++ )
v.push_back( i );
divide1( 0, n - 1 );
compile_set();
divide2( 0, n - 1, v );
vector<int> perm( n );
for ( int i = 0; i < n; i++ )
perm[ans[i]] = i;
return perm;
}
